Question

practice with trigonometric ratios sp 26
for angle a,
$cos(a) = \frac{12}{19}$
which is greater?
○ the adjacent side
○ the hypotenuse
○ not enough information
○ they are equal

Explanation:

Step1: Recall cosine definition

For an acute angle $A$ in a right triangle, $\cos(A) = \frac{\text{adjacent side to } A}{\text{hypotenuse}}$

Step2: Compare the values

Given $\cos(A) = \frac{12}{19}$, so adjacent side corresponds to 12, hypotenuse corresponds to 19. Since $19 > 12$, the hypotenuse is greater.

Answer:

The hypotenuse